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Finding the Fourth Proportional to 166.50, 230.04 and 151.20

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Solution

The fourth proportional to 166.50, 230.04 and 151.20 is: 208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 230.04 = 151.20 : x
  2. Step 2: Convert to fraction form
    166.50/230.04 = 151.20/x
  3. Step 3: Cross multiply
    166.50x = 230.04 × 151.20
  4. Step 4: Simplify right side
    166.50x = 34,782.05
  5. Step 5: Solve for x
    x = 34,782.05/166.50
  6. Step 6: Final answer
    x = 208.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.